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Finding the Fourth Proportional to 153,074.55, 211,236.31 and 85,091.38

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Solution

The fourth proportional to 153,074.55, 211,236.31 and 85,091.38 is: 117,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,074.55 : 211,236.31 = 85,091.38 : x
  2. Step 2: Convert to fraction form
    153,074.55/211,236.31 = 85,091.38/x
  3. Step 3: Cross multiply
    153,074.55x = 211,236.31 × 85,091.38
  4. Step 4: Simplify right side
    153,074.55x = 17,974,389,124.01
  5. Step 5: Solve for x
    x = 17,974,389,124.01/153,074.55
  6. Step 6: Final answer
    x = 117,422.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.